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Finding the Fourth Proportional to 12,712.59, 19,065.42 and 5,315.49

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Solution

The fourth proportional to 12,712.59, 19,065.42 and 5,315.49 is: 7,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.59 : 19,065.42 = 5,315.49 : x
  2. Step 2: Convert to fraction form
    12,712.59/19,065.42 = 5,315.49/x
  3. Step 3: Cross multiply
    12,712.59x = 19,065.42 × 5,315.49
  4. Step 4: Simplify right side
    12,712.59x = 101,342,049.36
  5. Step 5: Solve for x
    x = 101,342,049.36/12,712.59
  6. Step 6: Final answer
    x = 7,971.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.